What is expand ((sqrt(3)+i)^4)/(81) ?

The solution to expand ((sqrt(3)+i)^4)/(81) is -8/81+i(8sqrt(3))/(81)

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expand ((sqrt(3)+i)^4)/(81)

expand

\frac{( 3 + i ) ^{4}}{81}

- \frac{8}{81} + i \frac{8 3}{81}

Solution steps

\frac{( 3 + i ) ^{4}}{81}

(3 + i)^{4} = - 8 + 83 i

= \frac{( - 8 + 8 3 i )}{81}

Remove parentheses:

(- a) = - a

= \frac{- 8 + 8 3 i}{81}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{- 8 + 8 3 i}{81} = - \frac{8}{81} + \frac{8 3 i}{81}

= - \frac{8}{81} + \frac{8 3}{81} i

\frac{d}{d t} ((x) (t^{2} - t))

\frac{( ( 64 x + 32 ) ( 2 x + 1 ) )}{2}

(- 1, - π, \frac{1}{2 π}) \cdot (- π, - 2, 0)

2 (6 e + 2)

\frac{1}{( p ( a - p ) )}

What is expand ((sqrt(3)+i)^4)/(81) ?
The solution to expand ((sqrt(3)+i)^4)/(81) is -8/81+i(8sqrt(3))/(81)